SOLUTION: the sum of each pair of positive integers x,y that satisfy 3x+4y=50 is computed. what is the largest such sum?

Question 1055297: the sum of each pair of positive integers x,y that satisfy 3x+4y=50 is computed. what is the largest such sum?
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
So then re-writing,

So then substituting,

This function has a maximum value with the largest value of x that is still a positive integer.
and are the largest positive data pair and lead to the maximum sum.

.
.
.

.
RELATED QUESTIONS
the sum of each pair of positive integers X,Y that satisfy 3X + 4Y = 50 is computed. What (answered by Fombitz)

The sum of two consecutive odd integers is less than 100. what is the largest possible... (answered by Alan3354)

Find three consecutive odd integers such that the sum of the smallest and largest is... (answered by swincher4391)

Find three consecutive positive integers such that the sum of the squares of the largest... (answered by ewatrrr)

The sum of two positive integers is five times the difference. Find three pairs of... (answered by fractalier)

What is the largest number which is the product of positive integers whose sum is... (answered by swincher4391)

What is the largest possible product of a set of positive integers whose sum is... (answered by jsmallt9)

There are three consecutive positive integers such that the sum of square of first and... (answered by Edwin McCravy)

what is three consecutive integers such that the sum of the first two is 55 more than the (answered by CubeyThePenguin)